Nonautonomous bifurcation scenarios in SIR models

DOI10.1002/mma.3433zbMath1357.37090OpenAlexW1575482406MaRDI QIDQ2793949

Christian Poetzsche, Peter E. Kloeden

Publication date: 17 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3433

zbMATH Keywords

center manifoldpullback attractordichotomy spectrumnonautonomous dynamical systemBohl exponentsSIR-like model

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of attractors and their bifurcations (37G35) Nonautonomous smooth dynamical systems (37C60)

Related Items (7)

Oscillations on one dimensional time dependent center manifolds: algebraic curves approach ⋮ Analysis of a stochastic SIR model with fractional Brownian motion ⋮ Contributions to nonstationary community theory ⋮ Nonautonomous Dynamical Systems in the Life Sciences ⋮ A comparison between random and stochastic modeling for a SIR model ⋮ Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate ⋮ Stability and bifurcation analysis of \(SIQR\) for the COVID-19 epidemic model with time delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonautonomous continuation of bounded solutions
• Bifurcations in non-autonomous scalar equations
• Nonautonomous bifurcation patterns for one-dimensional differential equations
• A non-autonomous bifurcation theory for deterministic scalar differential equations
• A reduction principle for nonautonomous differential equations
• A spectral theory for linear differential systems
• Dichotomies in stability theory
• Hopf bifurcation from non-periodic solutions of differential equations. II
• Monotone random systems theory and applications
• Hopf bifurcation from nonperiodic solutions of differential equations. I: Linear theory
• Nonautonomous bifurcation of bounded solutions. I: a Lyapunov-Schmidt approach
• Nonautonomous SEIRS and Thron models for epidemiology and cell biology
• Asymptotic behaviour of the nonautonomous SIR equations with diffusion
• Invariant foliations and stability in critical cases
• Taylor approximation of integral manifolds
• Uniform weak implies uniform strong persistence for non-autonomous semiflows
• A NONAUTONOMOUS SADDLE-NODE BIFURCATION PATTERN

This page was built for publication: Nonautonomous bifurcation scenarios in SIR models